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Finding the Fourth Proportional to 8,260.78, 12,395.42 and 5,489.36

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Solution

The fourth proportional to 8,260.78, 12,395.42 and 5,489.36 is: 8,236.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.78 : 12,395.42 = 5,489.36 : x
  2. Step 2: Convert to fraction form
    8,260.78/12,395.42 = 5,489.36/x
  3. Step 3: Cross multiply
    8,260.78x = 12,395.42 × 5,489.36
  4. Step 4: Simplify right side
    8,260.78x = 68,042,922.73
  5. Step 5: Solve for x
    x = 68,042,922.73/8,260.78
  6. Step 6: Final answer
    x = 8,236.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.